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Branes in hearts with perverse sheaves | | Subir Mukhopadhyay
; Koushik Ray
; | | Date: |
12 Feb 2008 | | Abstract: | Various topological properties of D-branes in the type--IIA theory are
captured by the topologically twisted B-model, treating D-branes as objects in
the bounded derived category of coherent sheaves on the compact part of the
target space. The set of basic D-branes wrapped on the homology cycles of the
compact space are taken to reside in the heart of t-structures of the derived
category of coherent sheaves on the space at any point in the K"ahler moduli
space. The stability data entails specifying a t-structure along with a grade
for sorting the branes. Considering an example of a degenerate Calabi-Yau
space, obtained via geometric engineering, that retains but a projective curve
as the sole non-compact part, we identify the regions in the K"ahler moduli
space of the curve that pertain to the different t-structures of the bounded
derived category of coherent sheaves on the curve corresponding to the
different phases of the topological branes. | | Source: | arXiv, 0802.1658 | | Services: | Forum | Review | PDF | Favorites | |
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